The ratio of the profit, cost of materials and labour in the production of an article is 5:7:13 respectively. If the cost of materials is Le 840 more than that of labour, find the total cost of producing the article

Total cost is 2,800

Step-by-step explanation:

The given ratio 5:7:13 represents profit to cost of materials to labour.

However it is stated that cost of materials is Le 840 more than that of labour

Cost of material - 840 = labour

Cost of material = labour - 840

Let

Cost of material be x, and labour be y

x ÷ y = 7 ÷ 13 (equation 1)

x = y - 840 (equation 2)

Substitute x from equation 1 in equation 2

(y - 840) ÷ y = 7 ÷ 13

13 (y -840) = 7y

y = 1,820

Substitute value of y in equation 2

x = 1820 - 840

x = 980

So total cost is cost of material plus cost of labour = 980 + 1820 = 2,800

This will satisfy the ratio of 5:7:13 representing profit to cost of materials to labour

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

(a + b) (a^2 - a b + b^2)